An algebra problem by Mahmoud Khattab

Algebra Level 1

4096 128 = ? \frac{4096}{128} = ?

37 32 42 27

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5 solutions

It can be written as 2 12 2 7 = 2 12 7 = 2 5 = 32 \frac{2^{12}}{2^7}=2^{12-7}=2^5=\boxed{32}

exactly..to the point..upvoted!

Yoogottam Khandelwal - 5 years, 11 months ago
Mohammad Khaza
Jul 9, 2017

4096 128 \frac{4096}{128}

= 2 12 2 7 \frac{2^{12}}{2^7}

= 2 5 {2^5}

=32

Amy Cureton
Aug 9, 2015

Just from looking at the problem, you can see that both the numerator and denominator are powers of 2 2 (since 2 x 2 y = 2 x y \frac{2^x}{2^y} = 2^{x-y} by the laws of exponents), so you know that the answer is a power of 2 2 . The only option that is a power of 2 2 is 32 32 , so 32 32 must be the answer.

Yes, I too thought about it

Aryan Sanghi - 3 years, 3 months ago
Noel Lo
Apr 9, 2015

Same here, Abdur Rehman Zahid! It is interesting to use the law of indices.

Ahmed Mahmoud
May 13, 2018

come on man just use the calculator

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